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Atlas › Integer Profiles › Node 83,176,812

83,176,812

22 × 32 × 241 × 9587
Abundant Even Composite

83,176,812 factors as 2^2 × 3^2 × 241 × 9587. Its 36 positive divisors give a proper-divisor sum of 127,970,124, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 241 × 9587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 211,146,936
Proper Divisor Sum 127,970,124
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #83176811 ← → #83176829

Radix Representation

Decimal 83176812
Binary 100111101010010110101101100 (27 bits)
Octal 0o475226554
Hexadecimal 0x4F52D6C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 241 482 723 964 1,446 2,169 2,892 4,338 8,676 9,587 19,174 28,761 38,348 57,522 86,283 115,044 172,566 345,132 2,310,467 4,620,934 6,931,401 9,241,868 13,862,802 20,794,203 27,725,604 41,588,406 83,176,812

Collatz Trajectory (223 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

83,176,812 41,588,406 20,794,203 62,382,610 31,191,305 93,573,916 46,786,958 23,393,479 70,180,438 35,090,219 105,270,658 52,635,329 157,905,988 78,952,994 39,476,497 118,429,492 59,214,746 29,607,373 88,822,120 44,411,060 22,205,530 11,102,765 33,308,296 16,654,148 8,327,074 4,163,537 12,490,612 6,245,306 3,122,653 9,367,960 4,683,980 2,341,990 1,170,995 3,512,986 1,756,493 5,269,480 2,634,740 1,317,370 658,685 1,976,056 988,028 494,014 247,007 741,022 370,511 1,111,534 555,767 1,667,302 833,651 2,500,954 1,250,477 3,751,432 1,875,716 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546

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